Auto-Math
Sans calculatrice, calculez \(\sin\theta\) si \(\theta=315^{\circ}\).
\( -\dfrac{1}{2} \)
\( -\dfrac{\sqrt{2}}{2} \)
\( \dfrac{\sqrt{2}}{2} \)
\( \dfrac{7\pi}{4} \)
Convertissez en radians l'angle \(45^\circ \).
\(45\mbox{ radians}\)
\( \dfrac{\pi}{2}\mbox{ radians}\)
\(\dfrac{\pi}{4}\mbox{ radians}\)
\( \dfrac{\pi}{45} \mbox{ radians}\)
Résolvez l'équation \(\cos 2x = \dfrac{\sqrt{2}}{2}\) .
\( S=\left\{\dfrac{\pi}{8}+k\pi,\, -\dfrac{\pi}{8}+k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{\dfrac{\pi}{8}+2k\pi,\, -\dfrac{\pi}{8}+2k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{\dfrac{\pi}{4}\right\} \)
\( S=\left\{\dfrac{\pi}{8}\right\} \)
Résolvez l'équation \(\sin x = \sin 2x \).
\( S=\left\{k\pi,\, \dfrac{\pi}{3}+2k\pi,\, \dfrac{5\pi}{3}+2k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{0,\, \pi,\, \dfrac{\pi}{3},\, \dfrac{5\pi}{3}\right\} \)
\( S=\left\{k\pi,\, \dfrac{\pi}{3}+2k\pi;\, k\in\mathbb{Z}\right\} \)
\( S=\left\{k\pi,\, \dfrac{\pi}{6}+2k\pi,\, \dfrac{11\pi}{6}+2k\pi;\, k\in\mathbb{Z}\right\} \)
Convertissez en degrés l'angle \(5\pi\).
\(\pi\mbox{ degrés}\)
\( 5\mbox{ degrés}\)
\(90\mbox{ degrés}\)
\(180\mbox{ degrés}\)
Donnez la valeur de \( \sin {\pi \over 2}\) .
1
-1
0
90
Convertissez en radians l'angle \(240^\circ \).
\(\dfrac{\pi}{240}\mbox{ radians}\)
\( \dfrac{8\pi}{3}\mbox{ radians}\)
\( \dfrac{4\pi}{3}\mbox{ radians}\)
\( 240\mbox{ radians}\)
Si \(\alpha=53^{\circ}\) , alors l'opposé de \(\alpha\) vaut
\( 35^{\circ} \)
\( 233^{\circ} \)
\( 413^{\circ} \)
\( -53^{\circ} \)
Convertissez en degrés l'angle \(5\pi \over 2 \).
\(\dfrac{5}{2} \mbox{ degrés}\)
\( \dfrac{1}{4}\mbox{ degrés}\)
\( \dfrac{\pi}{2}\mbox{ degrés}\)
Sans calculatrice, calculez \(tg\, \theta\) si \(\theta=\dfrac{5\pi}{6}\) .
\( -\dfrac{\sqrt{3}}{3} \)
\( -\sqrt{3} \)
\( \dfrac{\sqrt{3}}{3} \)
\( 150 \)
